Definition 2.3 ([1]}) 
Let \(\eta >0,\, \nu >0~ ( ~\eta , \nu \in \mbox{R}) \) . Then the two parameter Mittag-Leffler function is defined as
\(\mathcal {E}_{\eta ,\,\nu }(z)=\sum _{k=0}^{\infty }\frac{z^k}{\Gamma (k \eta +\nu )}.\) 

